Question

Q1) solve the following equation (Linear equations in one variable ) a) 7x = 21 b) 12-x/5 = x c) 7+5x-3x=21​

Answer 1

• As per the data given in the question, we have to find the value of the expression.

              Given data:-

                   $7x = 21\\12-\frac{x}{5} = x \\7+5x-3x=21​$

             To find:- Value of the expression.

             Solution:-

• Here, we will use the below following steps to find a solution using the transposition method:

• Step 1:- we will Identify the variables and constants in the given simple equation.

• Step 2:-then we Simplify the equation in LHS and RHS.

• Step 3:- Transpose or shift the term on the other side to solve the equation further simplest.

• Step 4:- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.

• Step 5:- Then the result will be the solution for the given linear equation. By using the transposition method. we get,

1.

       $7x=21\\x=\frac{21}{7}\\x=3.$

2.

    $12-\frac{x}{5} =x\\12=x+\frac{x}{5}\\12=\frac{6x}{5} \\6x=12\times5\\6x=60\\x=10.\end{array}$

3.

    $7+5x-3x=21​\\=7+2x=21\\2x=21-7\\2x=14\\x=7.$

Hence we will get the value $x=3 ,x=10,x=7$ respectively.

   

Answer 2

Answer: a) 3, b) 10, c) 7.

Step-by-step explanation:

As per data given in the question,

We have to solve the given equation, and then determine the value of given variables.

From the given data,

We have,

$a) 7x = 21\\x =\frac{21}{7}\\x = 3$

$b) 12-\frac{x}{5}=x\\-\frac{x}{5} - x = -12\\\frac{(-x - 5x)}{5} = -12\\-6x = -12 \times 5\\-6x = -60\\x = \frac{60}{6}\\x = 10\\c) 7+ 5x-3x = 21\\2x = 21-7\\2x = 14\\x = \frac{14}{2}\\x = 7$